Gottfried Leibniz in the context of Computer science


Gottfried Leibniz in the context of Computer science

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⭐ Core Definition: Gottfried Leibniz

Gottfried Wilhelm Leibniz (or Leibnitz; 1 July 1646 [O.S. 21 June] – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Isaac Newton, with the creation of calculus in addition to many other branches of mathematics, such as binary arithmetic and statistics. Leibniz has been called the "last universal genius" due to his vast expertise across fields, which became a rarity after his lifetime with the coming of the Industrial Revolution and the spread of specialized labour. He is a prominent figure in both the history of philosophy and the history of mathematics. He wrote works on philosophy, theology, ethics, politics, law, history, philology, games, music, and other studies. Leibniz also made major contributions to physics and technology, and anticipated notions that surfaced much later in probability theory, biology, medicine, geology, psychology, linguistics and computer science.

Leibniz contributed to the field of library science, developing a cataloguing system (at the Herzog August Library in Wolfenbüttel, Germany) that came to serve as a model for many of Europe's largest libraries. His contributions to a wide range of subjects were scattered in various learned journals, in tens of thousands of letters and in unpublished manuscripts. He wrote in several languages, primarily in Latin, French and German.

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Gottfried Leibniz in the context of Voltaire

François-Marie Arouet (French: [fʁɑ̃swa maʁi aʁwɛ]; 21 November 1694 – 30 May 1778), known by his nom de plume Voltaire (/vɒlˈtɛər, vl-/, US also /vɔːl-/; French: [vɔltɛːʁ]), was a French Enlightenment writer, philosopher (philosophe), satirist, and historian. Famous for his wit and his criticism of Christianity (especially of the Catholic Church) and of slavery, Voltaire was an advocate of freedom of speech, freedom of religion, and separation of church and state.

Voltaire was a versatile and prolific writer, producing works in almost every literary form, including plays, poems, novels, essays, histories, and even scientific expositions. He wrote more than 20,000 letters and 2,000 books and pamphlets. Voltaire was one of the first authors to become renowned and commercially successful internationally. He was an outspoken advocate of civil liberties and was at constant risk from the strict censorship laws of the Catholic French monarchy. His polemics witheringly satirized intolerance and religious dogma, as well as the French institutions of his day. His best-known work and magnum opus, Candide, is a novella that comments on, criticizes, and ridicules many events, thinkers and philosophies of his time, most notably Gottfried Leibniz and his belief that our world is of necessity the "best of all possible worlds".

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Gottfried Leibniz in the context of Candide

Candide, ou l'Optimisme (/kɒnˈdd/ kon-DEED, French: [kɑ̃did] ) is a French satire written by Voltaire, a philosopher of the Age of Enlightenment, first published in 1759. The novella has been widely translated, with English versions titled Candide: or, All for the Best (1759); Candide: or, The Optimist (1762); and Candide: Optimism (1947). A young man, Candide, lives a sheltered life in an Edenic paradise, being indoctrinated with Leibnizian optimism by his mentor, Professor Pangloss. This lifestyle is abruptly ended, followed by Candide's slow and painful disillusionment as he witnesses and experiences great hardships in the world. Voltaire concludes Candide with, if not rejecting Leibnizian optimism outright, advocating a deeply practical precept, "we must cultivate our garden", in lieu of the Leibnizian mantra of Pangloss, "all is for the best" in the "best of all possible worlds".

Candide is characterized by its tone as well as its erratic, fantastical, and fast-moving plot. A picaresque novel with a story akin to a serious bildungsroman, it parodies many adventure and romance clichés, in a tone that is bitter and matter-of-fact. The events discussed are often based on historical happenings. As philosophers of Voltaire's day contended with the problem of evil, so does Candide, albeit more directly and humorously. Voltaire ridicules religion, theologians, governments, armies, philosophies, and philosophers. Through Candide, he assaults Leibniz and his optimism.

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Gottfried Leibniz in the context of Best of all possible worlds

The phrase "the best of all possible worlds" (French: Le meilleur des mondes possibles; German: Die beste aller möglichen Welten) was coined by the German polymath and Enlightenment philosopher Gottfried Leibniz in his 1710 work Essais de Théodicée sur la bonté de Dieu, la liberté de l'homme et l'origine du mal (Essays of Theodicy on the Goodness of God, the Freedom of Man and the Origin of Evil), more commonly known simply as the Theodicy. The claim that the actual world is the best of all possible worlds is the central argument in Leibniz's theodicy, or his attempt to solve the problem of evil.

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Gottfried Leibniz in the context of Perspectivism

Early forms of perspectivism have been identified in the philosophies of Protagoras, Michel de Montaigne, and Gottfried Leibniz. However, its first major statement is considered to be Friedrich Nietzsche's development of the concept in the 19th century, influenced by Gustav Teichmüller's use of the term some years prior. For Nietzsche, perspectivism takes the form of a realist antimetaphysics while rejecting both the correspondence theory of truth and the notion that the truth-value of a belief always constitutes its ultimate worth-value. The perspectival conception of objectivity used by Nietzsche sees the deficiencies of each perspective as remediable by an asymptotic study of the differences between them. This stands in contrast to Platonic notions in which objective truth is seen to reside in a wholly non-perspectival domain.

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Gottfried Leibniz in the context of Gaspard-Gustave de Coriolis

Gaspard-Gustave de Coriolis (French: [ɡaspaʁ ɡystav kɔʁjɔlis]; 21 May 1792 – 19 September 1843) was a French mathematician, mechanical engineer and scientist. He is best known for his work on the supplementary forces that are detected in a rotating frame of reference, leading to the Coriolis effect. He was the first to apply the term travail (translated as "work") for the transfer of energy by a force acting through a distance, and he prefixed the factor +12 to Leibniz's concept of vis viva, thus specifying today's kinetic energy.

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Gottfried Leibniz in the context of Theodicy

A theodicy (from Ancient Greek θεός theos, "god" and δίκη dikē, "justice"), meaning 'vindication of God', is an argument in the philosophy of religion that attempts to resolve the problem of evil, which arises when all power (omnipotence) and all goodness (omnibenevolence) are attributed to God simultaneously.

Unlike a defense, which tries only to demonstrate that God and evil can logically coexist, a theodicy additionally provides a framework in which God and evil's existence are considered plausible. The German philosopher and mathematician Gottfried Leibniz coined the term theodicy in his book Théodicée (1710), though numerous responses to the problem of evil had previously been offered.

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Gottfried Leibniz in the context of Psychophysical parallelism

In the philosophy of mind, psychophysical parallelism (or simply parallelism) is the theory that mental and bodily events are perfectly coordinated, without any causal interaction between them. As such, it affirms the correlation of mental and bodily events (since it accepts that when a mental event occurs, a corresponding physical effect occurs as well), but denies a direct cause and effect relation between mind and body. This coordination of mental and bodily events has been postulated to occur either in advance by means of God (as per Gottfried Leibniz's idea of pre-established harmony) or at the time of the event (as in the occasionalism of Nicolas Malebranche) or, finally, according to Baruch Spinoza's Ethics, mind and matter are two of infinite attributes of the only Substance-God, which go as one without interacting with each other. On this view, mental and bodily phenomena are independent yet inseparable, like two sides of a coin.

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Gottfried Leibniz in the context of Difference (philosophy)

Difference is a key concept of philosophy, denoting the process or set of properties by which one entity is distinguished from another within a relational field or a given conceptual system. In the Western philosophical system, difference is traditionally viewed as being opposed to identity, following the Principles of Leibniz, and in particular, his Law of the identity of indiscernibles. In structuralist and poststructuralist accounts, however, difference is understood to be constitutive of both meaning and identity. In other words, because identity (particularly, personal identity) is viewed in non-essentialist terms as a construct, and because constructs only produce meaning through the interplay of differences (see below), it is the case that for both structuralism and poststructuralism, identity cannot be said to exist without difference.

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Gottfried Leibniz in the context of Nova Methodus pro Maximis et Minimis

"Nova Methodus pro Maximis et Minimis" is the first published work on the subject of calculus. It was published by Gottfried Leibniz in the Acta Eruditorum in October 1684. It is considered to be the birth of infinitesimal calculus.

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Gottfried Leibniz in the context of Raphael Levi Hannover

Raphael Levi Hannover (1685 – May 17, 1779) was a German Jewish mathematician and astronomer. The son of Jacob Joseph, Hannover was born at Weikersheim, Franconia in 1685. He was educated at the Jewish school of Hanover and at the yeshivah of Frankfurt am Main, and became bookkeeper in the firm of Simon Wolf Oppenheimer in Hanover. Here he attracted the attention of Leibniz, and for a number of years was one of his most distinguished pupils and lived by him for three years (including last secretary), and afterward teacher of mathematics, astronomy, and natural philosophy. He also corresponded with Moses Mendelssohn.

Raphael Levi Hannover wrote: "Luḥot ha-'Ibbur," astronomical tables for the Jewish calendar; "Tekunat ha-Shamayim," on astronomy and calendar-making, especially commenting on the Talmudical passages on these topics, with glosses of Moses Tiktin. An enlarged revision of the latter work, with two other astronomical works of his, is in manuscript. The "Luḥot ha-'Ibbur" has been published with M. E. Fürth's "Yir'at Shamayim," on Maimonides' "Yad," Ḳiddush ha-Ḥodesh. He died in Hanover in 1779.

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Gottfried Leibniz in the context of New Essays on Human Understanding

New Essays on Human Understanding (French: Nouveaux essais sur l'entendement humain) is a chapter-by-chapter rebuttal by Gottfried Leibniz of John Locke's major work An Essay Concerning Human Understanding (1689). It is one of only two full-length works by Leibniz (the other being the Theodicy). It was finished in 1704, but Locke's death was the cause alleged by Leibniz to withhold its publication. The book was published in 1765, some 60 years following its completion. Leibniz had died in 1716, and never saw its published form.

Like many philosophical works of the time, it is written in dialogue form.

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Gottfried Leibniz in the context of Geometrical continuity

The concept of geometrical continuity was primarily applied to the conic sections (and related shapes) by mathematicians such as Leibniz, Kepler, and Poncelet. The concept was an early attempt at describing, through geometry rather than algebra, the concept of continuity as expressed through a parametric function.

The basic idea behind geometric continuity was that the five conic sections were really five different versions of the same shape. An ellipse tends to a circle as the eccentricity approaches zero, or to a parabola as it approaches one; and a hyperbola tends to a parabola as the eccentricity drops toward one; it can also tend to intersecting lines. Thus, there was continuity between the conic sections. These ideas led to other concepts of continuity. For instance, if a circle and a straight line were two expressions of the same shape, perhaps a line could be thought of as a circle of infinite radius. For such to be the case, one would have to make the line closed by allowing the point to be a point on the circle, and for and to be identical. Such ideas were useful in crafting the modern, algebraically defined, idea of the continuity of a function and of (see projectively extended real line for more).

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Gottfried Leibniz in the context of Quantitative science

The exact sciences or quantitative sciences, sometimes called the exact mathematical sciences, are those sciences "which admit of absolute precision in their results"; especially the mathematical sciences. Examples of the exact sciences are mathematics, optics, astronomy, and physics, which many philosophers from René Descartes, Gottfried Leibniz, and Immanuel Kant to the logical positivists took as paradigms of rational and objective knowledge. These sciences have been practiced in many cultures from antiquity to modern times. Given their ties to mathematics, the exact sciences are characterized by accurate quantitative expression, precise predictions and/or rigorous methods of testing hypotheses involving quantifiable predictions and measurements.

The distinction between the quantitative exact sciences and those sciences that deal with the causes of things is due to Aristotle, who distinguished mathematics from natural philosophy and considered the exact sciences to be the "more natural of the branches of mathematics." Thomas Aquinas employed this distinction when he said that astronomy explains the spherical shape of the Earth by mathematical reasoning while physics explains it by material causes. This distinction was widely, but not universally, accepted until the Scientific Revolution of the 17th century. Edward Grant has proposed that a fundamental change leading to the new sciences was the unification of the exact sciences and physics by Johannes Kepler, Isaac Newton, and others, which resulted in a quantitative investigation of the physical causes of natural phenomena.

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Gottfried Leibniz in the context of Berlin Observatory

The Berlin Observatory (Berliner Sternwarte) is a German astronomical institution with a series of observatories and related organizations in and around the city of Berlin in Germany, starting from the 18th century. It has its origins in 1700 when Gottfried Leibniz initiated the "Brandenburg Society of Science″ (Sozietät der Wissenschaften) which would later (1744) become the Prussian Academy of Sciences (Preußische Akademie der Wissenschaften). The Society had no observatory but nevertheless an astronomer, Gottfried Kirch, who observed from a private observatory in Berlin. A first small observatory was furnished in 1711, financing itself by calendrical computations.

In 1825 Johann Franz Encke was appointed director by King Frederick William III of Prussia. With the support of Alexander von Humboldt, Encke got the King to agree to the financing of a true observatory, but one condition was that the observatory be made accessible to the public two nights per week. The building was designed by the well-known architect Karl Friedrich Schinkel, and began operating in 1835. It now bears the IAU observatory code 548.

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Gottfried Leibniz in the context of Calculus ratiocinator

The calculus ratiocinator is a theoretical universal logical calculation framework, a concept described in the writings of Gottfried Leibniz, usually paired with his more frequently mentioned characteristica universalis, a universal conceptual language.

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